We study flow around a cylinder from a dynamics perspective, using drag and lift as indicators. We observe that the mean drag coefficient bifurcates from the steady case when the Karman vortex street emerges. We also find a jump in the dimension of the drag/lift attractor just above Reynolds number 100. We compare the simulated drag values with experimental data obtained over the last hundred years. Our simulations suggest that a vibrational resonance in the cylinder would be unlikely for Reynolds numbers greater than 1000, where the drag/lift behavior is fully chaotic.
翻译:我们以动力学视角研究圆柱绕流问题,采用阻力和升力作为指示量。观察到当卡门涡街形成时,平均阻力系数从稳态情形发生分岔。我们还发现,在雷诺数略高于100时,阻力/升力吸引子的维数出现跳跃。将模拟得到的阻力值与过去百年的实验数据进行对比。模拟结果表明,当雷诺数大于1000时,圆柱体发生振动共振的可能性较低——此时阻力/升力行为已完全进入混沌状态。